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Finding the Fourth Proportional to 1,367.78, 2,051.12 and 501.62

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Solution

The fourth proportional to 1,367.78, 2,051.12 and 501.62 is: 752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.78 : 2,051.12 = 501.62 : x
  2. Step 2: Convert to fraction form
    1,367.78/2,051.12 = 501.62/x
  3. Step 3: Cross multiply
    1,367.78x = 2,051.12 × 501.62
  4. Step 4: Simplify right side
    1,367.78x = 1,028,873.81
  5. Step 5: Solve for x
    x = 1,028,873.81/1,367.78
  6. Step 6: Final answer
    x = 752.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.